A man spends `1/3` of his total money, loses `1/4` of the remaining and gives away in charity `3/5` of what is left. If he still have Rs. 100 left, then what did he originally had.

Explanation

Let originally he had Rs. x

Money left after spending=`x - x/3 = (2x)/3`

Amount lost = ` (2x)/3 xx (1/4)=x/6`

Remaining amount after x/6 lost=` (2x)/3 - x/6 =(4x - x)/6 = x/2`

Amount given in the charity=` 3/5 xx x/2 = (3x)/(10)`

Amount left = `x/2 - (3x)/10 =(5x-3x)/(10)= x/5 `

Still he have Rs. 100 left
`:. x/5 =100`

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